-
1
-
-
34547254091
-
-
Springer, Berlin
-
V. I. Bogachev, Measure theory, vol. I & II, Springer, Berlin, 2007.
-
(2007)
Measure Theory
, vol.1-2
-
-
Bogachev, V.I.1
-
2
-
-
78650952271
-
The completion of the manifold of Riemannian metrics with respect to its L1 metric
-
University of Leipzig
-
1 metric, Ph.D. thesis, University of Leipzig, 2009, arXiv:0904.0159.
-
(2009)
Ph.D. Thesis
-
-
Clarke, B.1
-
3
-
-
77957984429
-
The metric geometry of the manifold of Riemannian metrics over a closed manifold
-
B. Clarke, The metric geometry of the manifold of Riemannian metrics over a closed manifold, Calc. Var. Partial Differential Equations 39 (2010), no. 3-4, 533-545, arXiv:0904.0174.
-
(2010)
Calc. Var. Partial Differential Equations
, vol.39
, Issue.3-4
, pp. 533-545
-
-
Clarke, B.1
-
4
-
-
36049055961
-
Quantum theory of gravity. I. The canonical theory
-
B. S. DeWitt, Quantum theory of gravity. I. The canonical theory, Phys. Rev. 160 (1967), no. 5, 1113-1148.
-
(1967)
Phys. Rev
, vol.160
, Issue.5
, pp. 1113-1148
-
-
Dewitt, B.S.1
-
5
-
-
0002984718
-
The manifold of Riemannian metrics, Global analysis (Shiing-Shen Chern and Steven Smale, eds.)
-
American Mathematical Society, Providence
-
D. G. Ebin, The manifold of Riemannian metrics, Global analysis (Shiing-Shen Chern and Steven Smale, eds.), Proceedings of Symposia in Pure Mathematics, vol. 15, American Mathematical Society, Providence, 1970, pp. 11-40.
-
(1970)
Proceedings of Symposia in Pure Mathematics
, vol.15
, pp. 11-40
-
-
Ebin, D.G.1
-
6
-
-
0003357347
-
Riemann surfaces
-
2nd ed., Springer, New York
-
H. M. Farkas & I. Kra, Riemann surfaces, 2nd ed., Graduate Texts in Mathematics, vol. 71, Springer, New York, 1992.
-
(1992)
Graduate Texts in Mathematics
, vol.71
-
-
Farkas, H.M.1
Kra, I.2
-
7
-
-
0000339711
-
The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group
-
D. S. Freed & D. Groisser, The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group, Michigan Math. J. 36 (1989), 323-344.
-
(1989)
Michigan Math. J
, vol.36
, pp. 323-344
-
-
Freed, D.S.1
Groisser, D.2
-
8
-
-
0001876177
-
The Riemannian manifold of all Riemannian metrics
-
O. Gil-Medrano & P. W. Michor, The Riemannian manifold of all Riemannian metrics, Quart. J. Math. Oxford Ser. (2) 42 (1991), no. 166, 183-202, arXiv:math/9201259.
-
(1991)
Quart. J. Math. Oxford Ser.
, vol.42
, Issue.2-166
, pp. 183-202
-
-
Gil-Medrano, O.1
Michor, P.W.2
-
9
-
-
52449148447
-
Riemannian, metrics on Teichmuller space
-
L. Habermann & J. Jost, Riemannian, metrics on Teichmuller space, Manuscripta Math. 89 (1996), no. 3, 281-306.
-
(1996)
Manuscripta Math
, vol.89
, Issue.3
, pp. 281-306
-
-
Habermann, L.1
Jost, J.2
-
10
-
-
77956192394
-
-
Paolo de Bartolomeis, and Mariano Giaquinta, eds.), Cambridge University Press
-
L. Habermann & J. Jost, Metrics on Riemann surfaces and the geometry of moduli spaces, Geometric Theory of Singular Phenomena in Partial Differential Equations (Jean-Pierre Bourguignon, Paolo de Bartolomeis, and Mariano Giaquinta, eds.), Cambridge University Press, 1998, pp. 53-70.
-
(1998)
Metrics on Riemann Surfaces and the Geometry of Moduli Spaces, Geometric Theory of Singular Phenomena in Partial Differential Equations (Jean-Pierre Bourguignon
, pp. 53-70
-
-
Habermann, L.1
Jost, J.2
-
11
-
-
84966236065
-
The inverse function theorem of Nash and Moser
-
R. S. Hamilton, The inverse function theorem of Nash and Moser, Bull. Amer. Math. Soc. 7 (1982), no. 1, 65-222.
-
(1982)
Bull. Amer. Math. Soc
, vol.7
, Issue.1
, pp. 65-222
-
-
Hamilton, R.S.1
-
12
-
-
0004243943
-
Real and abstract analysis
-
Springer-Verlag, New York
-
E. Hewitt & K. Stromberg, Real and abstract analysis, Graduate Texts in Mathematics, no. 25, Springer-Verlag, New York, 1975.
-
(1975)
Graduate Texts in Mathematics
, vol.25
-
-
Hewitt, E.1
Stromberg, K.2
-
14
-
-
77949309366
-
Extension of the Weil-Petersson metric to the boundary of Teichmuller space
-
H. Masur, Extension of the Weil-Petersson metric to the boundary of Teichmuller space, Duke Math. J. 43 (1976), no. 3, 623-635.
-
(1976)
Duke Math. J
, vol.43
, Issue.3
, pp. 623-635
-
-
Masur, H.1
-
15
-
-
29244431608
-
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
-
P. W. Michor & D. Mumford, Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms, Doc. Math. 10 (2005), 217-245, arXiv:math/0409303.
-
(2005)
Doc. Math.
, vol.10
, pp. 217-245
-
-
Michor, P.W.1
Mumford, D.2
-
16
-
-
31644434690
-
Riemannian geometries on spaces of plane curves
-
P. W. Michor & D. Mumford, Riemannian geometries on spaces of plane curves, J. Eur. Math. Soc. (JEMS) 8 (2006), no. 1, 1-48, arXiv:math.DG/0312384.
-
(2006)
J. Eur. Math. Soc. (JEMS)
, vol.8
, Issue.1
, pp. 1-48
-
-
Michor, P.W.1
Mumford, D.2
-
17
-
-
0008059961
-
Infinite-dimensional Lie groups
-
American Mathematical Society, Providence
-
H. Omori, Infinite-dimensional Lie groups, Translations of Mathematical Monographs, vol. 158, American Mathematical Society, Providence, 1997.
-
(1997)
Translations of Mathematical Monographs
, vol.158
-
-
Omori, H.1
-
18
-
-
0003864911
-
-
Princeton University Press, Princeton, 1965, With contributions by M. F. Atiyah, A. Borel, E. E. Floyd, R. T. Seeley, W. Shih and R. Solovay
-
R. S. Palais, Seminar on the Atiyah-Singer index theorem, Annals of Mathematical Studies, no. 57, Princeton University Press, Princeton, 1965, With contributions by M. F. Atiyah, A. Borel, E. E. Floyd, R. T. Seeley, W. Shih and R. Solovay.
-
Seminar on the Atiyah-Singer Index Theorem, Annals of Mathematical Studies
, vol.57
-
-
Palais, R.S.1
-
20
-
-
0011493949
-
Sur la convergence en moyenne
-
F. Riesz, Sur la convergence en moyenne, Acta Sci. Math. (Szeged) 4 (1928-1929), no. 3, 58-64.
-
(1928)
Acta Sci. Math. (Szeged)
, vol.4
, Issue.3
, pp. 58-64
-
-
Riesz, F.1
-
21
-
-
0004267646
-
-
Princeton University Press, Princeton
-
R. T. Rockafellar, Convex analysis, Princeton University Press, Princeton, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
22
-
-
0004226864
-
-
3rd ed., International Series in Pure and Applied Mathematics, McGraw-Hill, New York
-
W. Rudin, Principles of mathematical analysis, 3rd ed., International Series in Pure and Applied Mathematics, McGraw-Hill, New York, 1976.
-
(1976)
Principles of Mathematical Analysis
-
-
Rudin, W.1
-
23
-
-
0013200285
-
Topology and measure
-
Springer, Berlin
-
F. Topspe, Topology and measure, Lecture Notes in Mathematics, no. 133, Springer, Berlin, 1970.
-
(1970)
Lecture Notes in Mathematics
, vol.133
-
-
Topspe, F.1
|